117 citations · 600 across the 16 of their papers we have counts for
16 papers
Memory Effect and Carroll Symmetry: 50 years later
M. Elbistan, P. -M. Zhang, P. A. Horvathy
Particles at rest before the arrival of a burst of gravitational wave move, after the wave has passed, with constant velocity along diverging geodesics. As recognized by Souriau 50…
Anyonic spin-Hall effect on the Black Hole horizon
Loic Marsot, Peng-Ming Zhang, Peter Horvathy
Using the fact that the horizon of black holes is a Carroll manifold, we show that an ``exotic photon'' i.e. a particle without mass and charge but with anyonic spin, magnetic mome…
Gravitational Waves and Conformal Time Transformations
P. -M. Zhang, Q. -L. Zhao, P. A. Horvathy
Recent interest in the "memory effect" prompted us to revisit the relation of gravitational aves and oscillators. 50 years ago Niederer [1] found that an isotropic harmonic oscilla…
Time-dependent conformal transformations and the propagator for quadratic systems
Q. -L. Zhao, P. -M. Zhang, P. A. Horvathy
The method proposed by Inomata and his collaborators allows us to transform a damped Caldiroli-Kanai oscillator with time-dependent frequency to one with constant frequency and no…
Geodesic motion in Bogoslovsky-Finsler Spacetimes
M. Elbistan, P. -M. Zhang, N. Dimakis +2
We study the free motion of a massive particle moving in the background of a Finslerian deformation of a plane gravitational wave in Einstein's General Relativity. The deformation…
Sturm-Liouville and Carroll: at the heart of the Memory Effect
P. -M. Zhang, M. Elbistan, G. W. Gibbons +1
For a plane gravitational wave whose profile is given, in Brinkmann coordinates, by a symmetric traceless matrix , the matrix Sturm-Liouville equation $\ddot{P}=KP…